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74079948 = 22317241521
BaseRepresentation
bin1000110101001…
…01111011001100
312011101122120210
410122211323030
5122431024243
611203442420
71556445345
oct432457314
9164348523
1074079948
11388a83a8
1220986410
13124698b7
149ba50cc
156784933
hex46a5ecc

74079948 has 72 divisors (see below), whose sum is σ = 188458704. Its totient is φ = 22630400.

The previous prime is 74079947. The next prime is 74079961. The reversal of 74079948 is 84997047.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 74079897 and 74079906.

It is not an unprimeable number, because it can be changed into a prime (74079947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141928 + ... + 142448.

It is an arithmetic number, because the mean of its divisors is an integer number (2617482).

Almost surely, 274079948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74079948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94229352).

74079948 is an abundant number, since it is smaller than the sum of its proper divisors (114378756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74079948 is a wasteful number, since it uses less digits than its factorization.

74079948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 74079948 is about 8606.9708957333. The cubic root of 74079948 is about 419.9847840293.

The spelling of 74079948 in words is "seventy-four million, seventy-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 289 492 521 578 697 867 1042 1156 1394 1563 1734 2084 2091 2788 3126 3468 4182 6252 8364 8857 11849 17714 21361 23698 26571 35428 35547 42722 47396 53142 64083 71094 85444 106284 128166 142188 150569 256332 301138 363137 451707 602276 726274 903414 1089411 1452548 1806828 2178822 4357644 6173329 12346658 18519987 24693316 37039974 74079948